期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 72, 期 4, 页码 1096-1117出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2016.06.024
关键词
Finite volume method; Unstructured grids; High order scheme; RBF reconstruction method; Navier-Stokes equations
资金
- National Natural Science Foundation of China [11172237]
- Program for New Century Excellent Talents in University [NCET-13-0478]
This paper proposes a high-order finite volume method based on radial basis function (RBF) reconstruction for the solution of Euler and Navier-Stokes equations on unstructured grids. Unlike traditional polynomial K-exact method, RBF method has stronger adaptability for different reconstruction stencils and more flexibility in choosing interpolating points. We expatiate on the detailed process of flow-field reconstruction by using multiquadric (MQ) basis function for the second-order and third-order schemes on unstructured triangular grids. Subsequently, we validate the accuracy order of RBF method through the numerical test case. Furthermore, the method is used to solve several typical flow fields. Compared with traditional K-exact high-order scheme, RBF method is more accurate and has lower numerical dissipation, which can obtain more elaborate and precise results. (C) 2016 Elsevier Ltd. All rights reserved.
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